यदि \(A=\{1,2,3\}\) है, तो (\mathcal{P}(A)) के कितने तत्वों में कम से कम एक तत्व है?
If \(A=\{1,2,3\}\), how many elements of (\mathcal{P}(A)) have at least one element?
Explanation opens after your attempt
B. (7)
Concept
Subsets with at least one element are non-empty subsets. From total \(2^3=8\), removing \(\varnothing\) leaves (7).
Why this answer is correct
The correct answer is B. (7). Subsets with at least one element are non-empty subsets. From total \(2^3=8\), removing \(\varnothing\) leaves (7).
Exam Tip
कम से कम एक तत्व वाले उपसमुच्चय अरिक्त उपसमुच्चय होते हैं। कुल \(2^3=8\) में से \(\varnothing\) हटाने पर (7) बचते हैं।
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